Lumped Model Generation and Evaluation: Sensitivity and Lie Algebraic Techniques with Applications to Combustion
Abstract
This program dealt with the development and application of new approaches for producing and evaluating semi-empirical (lumped parameter) models of physical processes. Procedures using local sensitivity gradient methods were used to study the existing lumped kinetic models for the moist carbon monoxide oxidation to show that transport processes can cause oversimplified lumped models derived from homogeneous kinetics to fail when applied to flame propagation systems. New models are under development which will include the appropriate level of detail. A Lie group formalism was developed to address global parameter space mapping issues for first order differential equations. The rigorous criteria for the existence of exact lumping by linear projective transformations was also established.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 03, 1989
- Accession Number
- ADA206683
Entities
People
- F. L. Dryer
- H. Rabitz
- R. Yetter
Organizations
- Princeton University